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kozerog [31]
3 years ago
15

Help ASAP, will give BRAINLIEST

Mathematics
2 answers:
weqwewe [10]3 years ago
6 0
Nope it’s 45 degrees
vlada-n [284]3 years ago
4 0

Answer:

B: 39 degrees

Step-by-step explanation: The angles in a triangle add up to 180 degrees. 180 - 30 - 24 = 126.

126 = (3x-9).

126 - 9 = 117.

117 / 3 = 39  

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A hippopotamus weighs 7000 pounds. The weight of a monkey is 1/1000 the weights of a hippopotamus. How many more pounds does the
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The hippopotamus weighs 6,993 pounds more than the monkey.

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Brianna and Kayla will make the same amount of money after working for 5 hours. Both will make $25.00 by this time.

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What is the slope of the line that passes through the points (3,4) and (0, -2)
alekssr [168]
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3 years ago
Read 2 more answers
Plz with steps plzzzzzz
Stella [2.4K]

Answer:  -\frac{\sqrt{2a}}{8a}

=======================================================

Explanation:

The (x-a) in the denominator causes a problem if we tried to simply directly substitute in x = a. This is because we get a division by zero error.

The trick often used for problems like this is to rationalize the numerator as shown in the steps below.

\displaystyle \lim_{x\to a} \frac{\sqrt{3a-x}-\sqrt{x+a}}{4(x-a)}\\\\\\\lim_{x\to a} \frac{(\sqrt{3a-x}-\sqrt{x+a})(\sqrt{3a-x}+\sqrt{x+a})}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{(\sqrt{3a-x})^2-(\sqrt{x+a})^2}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{3a-x-(x+a)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{3a-x-x-a}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\

\displaystyle \lim_{x\to a} \frac{2a-2x}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2(-a+x)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2(x-a)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2}{4(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\

At this point, the (x-a) in the denominator has been canceled out. We can now plug in x = a to see what happens

\displaystyle L = \lim_{x\to a} \frac{-2}{4(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\L = \frac{-2}{4(\sqrt{3a-a}+\sqrt{a+a})}\\\\\\L = \frac{-2}{4(\sqrt{2a}+\sqrt{2a})}\\\\\\L = \frac{-2}{4(2\sqrt{2a})}\\\\\\L = \frac{-2}{8\sqrt{2a}}\\\\\\L = \frac{-1}{4\sqrt{2a}}\\\\\\L = \frac{-1*\sqrt{2a}}{4\sqrt{2a}*\sqrt{2a}}\\\\\\L = \frac{-\sqrt{2a}}{4\sqrt{2a*2a}}\\\\\\L = \frac{-\sqrt{2a}}{4\sqrt{(2a)^2}}\\\\\\L = \frac{-\sqrt{2a}}{4*2a}\\\\\\L = -\frac{\sqrt{2a}}{8a}\\\\\\

There's not much else to say from here since we don't know the value of 'a'. So we can stop here.

Therefore,

\displaystyle \lim_{x\to a} \frac{\sqrt{3a-x}-\sqrt{x+a}}{4(x-a)} = -\frac{\sqrt{2a}}{8a}\\\\\\

3 0
3 years ago
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